OSCILLATION OF FOURTH-ORDER DYNAMIC EQUATIONS

被引：0
|
作者：
Grace, Said R. [3 ]
Bohner, Martin [1 ,2 ]
Sun, Shurong [4 ]
机构：
[1] Missouri Univ Sci & Technol, Dept Econ & Finance, Rolla, MO 65409 USA
[2] Missouri Univ Sci & Technol, Dept Math, Rolla, MO 65409 USA
[3] Cairo Univ, Dept Engn Math, Fac Engn, Giza 12221, Egypt
[4] Univ Jinan, Sch Sci, Jinan 250022, Shandong, Peoples R China
来源：
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2010年 / 39卷 / 04期
关键词：
Oscillation; Fourth-order; Dynamic equation; Time scales; THEOREMS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we shall reduce the problem of the oscillation of all solutions of certain nonlinear fourth-order dynamic equations to the problem of oscillation of two second-order dynamic equations, which are discussed intensively in the literature. Further oscillation criteria of fourth-order equations are given and proved using integration and Taylor's formula on time scales. Some conditions are presented that ensure that all bounded solutions of the equation are oscillatory.
引用
收藏
页码：545 / 553
页数：9
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